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In: Statistics and Probability

The success rate for a certain type of surgery is 85%. The surgery is performed on...

The success rate for a certain type of surgery is 85%. The surgery is performed on 6 patients. (Assume the outcomes of surgeries are independent of each other)

a) Find the probability that under half of the surgeries are successful.

b) Find the probability that the first unsuccessful surgery is the 3rd surgery

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